Prime p₀= 2642357368389744767 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 142 2 4 2 28 2 40 2 16 2 22 2 (?)
a_n: 0 2 144 146 150 152 180 182 222 224 240 242 264 266
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 266
Found by: RFGuy_KCCO
db: batch=82, k=14, 142 4 28 40 16 22

SPT(16)	2642355973222325573	0 30 54 98 108 126 230 264 350 384 488 506 516 560 584 614	-1395167419194
STPT(10)	2642356494276314909	0 2 30 32 60 62 90 92 120 122	-874113429858
SPT(16)	2642356682115086023	0 24 58 70 94 96 124 126 148 150 178 180 204 216 250 274	-686274658744
STPT(10)	2642356979318501909	0 2 48 50 60 62 72 74 120 122	-389071242858
STPT(10)	2642357060268236537	0 2 30 32 72 74 114 116 144 146	-308121508230
STPT(10)	2642357094834286799	0 2 12 14 30 32 48 50 60 62	-273555457968
STPT(10)	2642357677891715237	0 2 24 26 42 44 60 62 84 86	309501970470
STPT(10)	2642357810962134227	0 2 30 32 42 44 54 56 84 86	442572389460
SPT(16)	2642358088163660479	0 12 22 30 42 70 72 78 82 88 90 118 130 138 148 160	719773915712
SPT(16)	2642358153362000779	0 12 52 112 118 138 172 208 222 258 292 312 318 378 418 430	784972256012
SPT(16)	2642358294905123297	0 32 44 60 96 104 126 132 194 200 222 230 266 282 294 326	926515378530